An Order of Magnitude (abbreviated to OoM) is a measurement of how many 10s you must multiply together to get to a number. Using logarithms, you can instead see what you need to raise ten to the power of, to get non-integer Orders of Magnitude.
In Egg, Inc.
Farm Value is measured in orders of magnitude. This allows for easier comparison, because 10^{36} and 10^{42} are easier to compare than 1,000,000,000,000,000,000,000,000,000,000,000,000 and 100,000,000,000,000,000,000,000,000,000,000,000,000,000. With Orders of Magnitude, you don't have to painstakingly count the zeroes; you can use exponent rules to calculate 10^{42} divided by 10^{36} as 10^{42-36}, which simplifies to 10^{6}, meaning one farm value is 1 million times the other.
Unit | Name | Value |
---|---|---|
M | Million | 1,000,000 |
B | Billion | 1,000,000,000 |
T | Trillion | 10^{12} |
q | Quadrillion | 10^{15} |
Q | Quintillion | 10^{18} |
s | Sextillion | 10^{21} |
S | Septillion | 10^{24} |
o | Octillion | 10^{27} |
N | Nonillion | 10^{30} |
d | Decillion | 10^{33} |
U | Undecillion | 10^{36} |
D | Duodecillion | 10^{39} |
Td | Tredecillion | 10^{42} |
qd | Quattuordecillion | 10^{45} |
Qd | Quindecillion | 10^{48} |
sd | Sexdecillion | 10^{51} |
Sd | Septendecillion | 10^{54} |
Od | Octodecillion | 10^{57} |
Nd | Novemdecillion | 10^{60} |
V | Vigintillion | 10^{63} |
uV | Unvigintillion | 10^{66} |
dV | Duovigintillion | 10^{69} |
tV | Tresvigintillion | 10^{72} |
qV | Quatvigintillion | 10^{75} |
QV | Quinvigintillion | 10^{78} |
sV | Sesvigintillion | 10^{81} |
SV | Septvigintillion | 10^{84} |
OV? | Octovigintillion | 10^{87} |
NV? | Novemvigintillion | 10^{90} |
tT | Trigintillion | 10^{93} |
[X] | A LOT | everything 10^{96} and higher |
New units names and abbreviations are added with some game updates as the player base achieves higher farm values. Most of the unit names are based on those found in a dictionary or commonly used online, but sometimes there are minor differences.
In Science
When comparing extremely large things like stars or extremely small things like bacteria, if there are hundreds of billions of bacteria in a human, trillions of stars in the galaxy, or septillions of atoms in a gram of water (6.02214085774×10^{23)}, it gets confusing to count the zeroes every time you want to know the exact size of an extremely large or small number, so scientists use Orders of Magnitude for those.
Calculation
To calculate a number in OoM, you evaluate log_{10}(number). A logarithm is the answer to the question "HTo what power must I raise the base (the small number written immediately after the word "log") to get the argument (the normal-sized number, usually written in parentheses)?", where a "power" means multiplying a certain number of copies of a number together. For example, 10^{6} is calculated by multiplying 6 copies of the number 10 together, which results in 1,000,000. Hence, log_{10}(1,000,000) gives 6 as the Order of Magnitude.
External Links
- "Order of Magnitude" on Wikipedia - for further explanation on Order of Magnitude.
- "Triangle of a Power" - a YouTube video by 3blue1brown which presents an interesting triangular relationship between powers, roots, and logarithms